1130221034100 has 90 divisors (see below), whose sum is σ = 3663730111734. Its totient is φ = 301392273600.

The previous prime is 1130221034069. The next prime is 1130221034101. The reversal of 1130221034100 is 14301220311.

1130221034100 is a `hidden beast` number, since 1 + 1 + 30 + 221 + 0 + 3 + 410 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 38367407376 + 1091853626724 = 195876^2 + 1044918^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130221034101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 69758631 + ... + 69774830.

Almost surely, 2^{1130221034100} is an apocalyptic number.

1130221034100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130221034100 is an abundant number, since it is smaller than the sum of its proper divisors (2533509077634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1130221034100 is a wasteful number, since it uses less digits than its factorization.

1130221034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139533487 (or 139533471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1130221034100 its reverse (14301220311), we get a palindrome (1144522254411).

The spelling of 1130221034100 in words is "one trillion, one hundred thirty billion, two hundred twenty-one million, thirty-four thousand, one hundred".